ELEMENT FREE GALERKIN METHOD FOR THE NUMERICAL SOLUTION OF THE PURE CONVECTION PROBLEMS

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RAHMANI FIROOZJAH ALI; Farvizi Farzad; Hendi Ehsan

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Seminar Paper

Paper Information

Seminar: NATIONAL CONGRESS ON CIVIL ENGINEERING
Year:2014 | Issue:8

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Title

ELEMENT FREE GALERKIN METHOD FOR THE NUMERICAL SOLUTION OF THE PURE CONVECTION PROBLEMS

Author(s)

RAHMANI FIROOZJAH ALI | Farvizi Farzad | Hendi Ehsan | Issue Writer Certificate

Keywords

MESHLESS METHOD

SHALLOW WATER PROBLEMS

SENSITIVITY ANALYSIS

MOVING CONE PROBLEM

SHOALING

Abstract

IN THIS PAPER, THE MESHLESS METHOD IS INTRODUCED TO THE HYDRAULICS. AN ELEMENT FREE GALERKIN (EFG)METHOD FOR SIMULATION OF TWO-DIMENSIONAL SHALLOW WATER FLOWS IS PRESENTED AND ITS IMPLEMENTATION ISDESCRIBED. IN THIS METHOD ONLY THE NODAL DATA WHICH MAY BE THE SAME AS THOSE USED IN THE FINITE ELEMENTMETHODS (FEMS) AND A DESCRIPTION OF THE DOMAIN BOUNDARY GEOMETRY ARE NECESSARY, NO ELEMENT OR GRIDCONNECTIVITY IS NEEDED. IN THE EFG METHOD THE MOVING LEAST SQUARES (MLS) INTERPOLATIONS IS USED TOCONSTRUCT THE TRIAL FUNCTIONS. THE MODELLED DOMAIN IS REPRESENTED THOROUGH THE NODAL POINTS. A GALERKINMETHOD IS APPLIED TO DISCRETIZE THE GOVERNING DIFFERENTIAL EQUATIONS, RESULTING IN A SIMULTANEOUS EQUATIONSYSTEM. AN UNDERLYING CELL STRUCTURE FOR CALCULATION OF THE INTEGRALS IS USED. THE SENSITIVITY ANALYSIS ISPROPOSED TO DETERMINE THE INFLUENCE OF THE DIFFERENT PARAMETERS OF THE EFG METHOD WITH SOLVING MOVINGCONE PROBLEM. TO VERIFY THE EFFICIENCY OF THE PROPOSED METHOD THE SHOALING PROBLEM IS ANALYZED.

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APA: Copy

RAHMANI FIROOZJAH, ALI, Farvizi, Farzad, & Hendi, Ehsan. (2014). ELEMENT FREE GALERKIN METHOD FOR THE NUMERICAL SOLUTION OF THE PURE CONVECTION PROBLEMS. NATIONAL CONGRESS ON CIVIL ENGINEERING. SID. https://sid.ir/paper/946813/en

Vancouver: Copy

RAHMANI FIROOZJAH ALI, Farvizi Farzad, Hendi Ehsan. ELEMENT FREE GALERKIN METHOD FOR THE NUMERICAL SOLUTION OF THE PURE CONVECTION PROBLEMS. 2014. Available from: https://sid.ir/paper/946813/en

IEEE: Copy

ALI RAHMANI FIROOZJAH, Farzad Farvizi, and Ehsan Hendi, “ELEMENT FREE GALERKIN METHOD FOR THE NUMERICAL SOLUTION OF THE PURE CONVECTION PROBLEMS,” presented at the NATIONAL CONGRESS ON CIVIL ENGINEERING. 2014, [Online]. Available: https://sid.ir/paper/946813/en

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